mirror of
https://github.com/gonum/gonum.git
synced 2025-10-11 01:50:12 +08:00
523 lines
14 KiB
Go
523 lines
14 KiB
Go
// Copyright ©2016 The Gonum Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package amos
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import (
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"math"
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"strconv"
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"testing"
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"golang.org/x/exp/rand"
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"gonum.org/v1/gonum/floats"
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)
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type input struct {
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x []float64
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is []int
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kode int
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id int
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yr []float64
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yi []float64
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n int
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tol float64
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}
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func randnum(rnd *rand.Rand) float64 {
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r := 2e2 // Fortran has infinite loop if this is set higher than 2e3
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if rnd.Float64() > 0.99 {
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return 0
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}
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return rnd.Float64()*r - r/2
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}
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func randInput(rnd *rand.Rand) input {
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x := make([]float64, 8)
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for j := range x {
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x[j] = randnum(rnd)
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}
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is := make([]int, 3)
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for j := range is {
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is[j] = rand.Intn(1000)
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}
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kode := rand.Intn(2) + 1
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id := rand.Intn(2)
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n := rand.Intn(5) + 1
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yr := make([]float64, n+1)
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yi := make([]float64, n+1)
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for j := range yr {
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yr[j] = randnum(rnd)
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yi[j] = randnum(rnd)
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}
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tol := 1e-14
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return input{
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x, is, kode, id, yr, yi, n, tol,
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}
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}
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const nInputs = 100000
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func TestAiry(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zairytest(t, in.x, in.kode, in.id)
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}
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}
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func TestZacai(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zacaitest(t, in.x, in.is, in.tol, in.n, in.yr, in.yi, in.kode)
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}
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}
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func TestZbknu(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zbknutest(t, in.x, in.is, in.tol, in.n, in.yr, in.yi, in.kode)
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}
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}
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func TestZasyi(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zasyitest(t, in.x, in.is, in.tol, in.n, in.yr, in.yi, in.kode)
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}
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}
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func TestZseri(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zseritest(t, in.x, in.is, in.tol, in.n, in.yr, in.yi, in.kode)
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}
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}
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func TestZmlri(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zmlritest(t, in.x, in.is, in.tol, in.n, in.yr, in.yi, in.kode)
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}
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}
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func TestZkscl(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zkscltest(t, in.x, in.is, in.tol, in.n, in.yr, in.yi)
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}
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}
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func TestZuchk(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zuchktest(t, in.x, in.is, in.tol)
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}
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}
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func TestZs1s2(t *testing.T) {
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rnd := rand.New(rand.NewSource(1))
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for i := 0; i < nInputs; i++ {
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in := randInput(rnd)
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zs1s2test(t, in.x, in.is)
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}
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}
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func zs1s2test(t *testing.T, x []float64, is []int) {
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type data struct {
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ZRR, ZRI, S1R, S1I, S2R, S2I float64
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NZ int
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ASCLE, ALIM float64
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IUF int
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}
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input := data{
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x[0], x[1], x[2], x[3], x[4], x[5],
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is[0],
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x[6], x[7],
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is[1],
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}
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zr := complex(input.ZRR, input.ZRI)
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s1 := complex(input.S1R, input.S1I)
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s2 := complex(input.S2R, input.S2I)
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impl := func(input data) data {
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s1, s2, nz, iuf := Zs1s2(zr, s1, s2, input.ASCLE, input.ALIM, input.IUF)
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zrr := real(zr)
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zri := imag(zr)
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s1r := real(s1)
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s1i := imag(s1)
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s2r := real(s2)
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s2i := imag(s2)
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alim := input.ALIM
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ascle := input.ASCLE
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return data{zrr, zri, s1r, s1i, s2r, s2i, nz, ascle, alim, iuf}
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}
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comp := func(input data) data {
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zrr, zri, s1r, s1i, s2r, s2i, nz, ascle, alim, iuf :=
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zs1s2Orig(input.ZRR, input.ZRI, input.S1R, input.S1I, input.S2R, input.S2I, input.NZ, input.ASCLE, input.ALIM, input.IUF)
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return data{zrr, zri, s1r, s1i, s2r, s2i, nz, ascle, alim, iuf}
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}
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oi := impl(input)
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oc := comp(input)
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sameF64(t, "zs1s2 zrr", oc.ZRR, oi.ZRR)
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sameF64(t, "zs1s2 zri", oc.ZRI, oi.ZRI)
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sameF64(t, "zs1s2 s1r", oc.S1R, oi.S1R)
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sameF64(t, "zs1s2 s1i", oc.S1I, oi.S1I)
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sameF64(t, "zs1s2 s2r", oc.S2R, oi.S2R)
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sameF64(t, "zs1s2 s2i", oc.S2I, oi.S2I)
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sameF64(t, "zs1s2 ascle", oc.ASCLE, oi.ASCLE)
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sameF64(t, "zs1s2 alim", oc.ALIM, oi.ALIM)
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sameInt(t, "iuf", oc.IUF, oi.IUF)
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sameInt(t, "nz", oc.NZ, oi.NZ)
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}
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func zuchktest(t *testing.T, x []float64, is []int, tol float64) {
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YR := x[0]
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YI := x[1]
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NZ := is[0]
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ASCLE := x[2]
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TOL := tol
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YRfort, YIfort, NZfort, ASCLEfort, TOLfort := zuchkOrig(YR, YI, NZ, ASCLE, TOL)
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y := complex(YR, YI)
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NZamos := Zuchk(y, ASCLE, TOL)
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YRamos := real(y)
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YIamos := imag(y)
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ASCLEamos := ASCLE
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TOLamos := TOL
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sameF64(t, "zuchk yr", YRfort, YRamos)
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sameF64(t, "zuchk yi", YIfort, YIamos)
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sameInt(t, "zuchk nz", NZfort, NZamos)
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sameF64(t, "zuchk ascle", ASCLEfort, ASCLEamos)
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sameF64(t, "zuchk tol", TOLfort, TOLamos)
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}
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func zkscltest(t *testing.T, x []float64, is []int, tol float64, n int, yr, yi []float64) {
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ZRR := x[0]
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ZRI := x[1]
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FNU := x[2]
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NZ := is[1]
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ELIM := x[3]
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ASCLE := x[4]
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RZR := x[6]
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RZI := x[7]
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yrfort := make([]float64, len(yr))
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copy(yrfort, yr)
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yifort := make([]float64, len(yi))
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copy(yifort, yi)
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ZRRfort, ZRIfort, FNUfort, Nfort, YRfort, YIfort, NZfort, RZRfort, RZIfort, ASCLEfort, TOLfort, ELIMfort :=
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zksclOrig(ZRR, ZRI, FNU, n, yrfort, yifort, NZ, RZR, RZI, ASCLE, tol, ELIM)
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yramos := make([]float64, len(yr))
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copy(yramos, yr)
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yiamos := make([]float64, len(yi))
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copy(yiamos, yi)
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ZRRamos, ZRIamos, FNUamos, Namos, YRamos, YIamos, NZamos, RZRamos, RZIamos, ASCLEamos, TOLamos, ELIMamos :=
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Zkscl(ZRR, ZRI, FNU, n, yramos, yiamos, NZ, RZR, RZI, ASCLE, tol, ELIM)
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sameF64(t, "zkscl zrr", ZRRfort, ZRRamos)
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sameF64(t, "zkscl zri", ZRIfort, ZRIamos)
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sameF64(t, "zkscl fnu", FNUfort, FNUamos)
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sameInt(t, "zkscl n", Nfort, Namos)
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sameInt(t, "zkscl nz", NZfort, NZamos)
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sameF64(t, "zkscl rzr", RZRfort, RZRamos)
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sameF64(t, "zkscl rzi", RZIfort, RZIamos)
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sameF64(t, "zkscl ascle", ASCLEfort, ASCLEamos)
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sameF64(t, "zkscl tol", TOLfort, TOLamos)
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sameF64(t, "zkscl elim", ELIMfort, ELIMamos)
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sameF64SApprox(t, "zkscl yr", YRfort, YRamos, 1e-14)
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sameF64SApprox(t, "zkscl yi", YIfort, YIamos, 1e-14)
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}
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func zmlritest(t *testing.T, x []float64, is []int, tol float64, n int, yr, yi []float64, kode int) {
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ZR := x[0]
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ZI := x[1]
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FNU := x[2]
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KODE := kode
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NZ := is[1]
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yrfort := make([]float64, len(yr))
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copy(yrfort, yr)
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yifort := make([]float64, len(yi))
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copy(yifort, yi)
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ZRfort, ZIfort, FNUfort, KODEfort, Nfort, YRfort, YIfort, NZfort, TOLfort :=
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zmlriOrig(ZR, ZI, FNU, KODE, n, yrfort, yifort, NZ, tol)
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yramos := make([]float64, len(yr))
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copy(yramos, yr)
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yiamos := make([]float64, len(yi))
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copy(yiamos, yi)
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ZRamos, ZIamos, FNUamos, KODEamos, Namos, YRamos, YIamos, NZamos, TOLamos :=
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Zmlri(ZR, ZI, FNU, KODE, n, yramos, yiamos, NZ, tol)
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sameF64(t, "zmlri zr", ZRfort, ZRamos)
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sameF64(t, "zmlri zi", ZIfort, ZIamos)
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sameF64(t, "zmlri fnu", FNUfort, FNUamos)
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sameInt(t, "zmlri kode", KODEfort, KODEamos)
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sameInt(t, "zmlri n", Nfort, Namos)
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sameInt(t, "zmlri nz", NZfort, NZamos)
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sameF64(t, "zmlri tol", TOLfort, TOLamos)
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sameF64S(t, "zmlri yr", YRfort, YRamos)
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sameF64S(t, "zmlri yi", YIfort, YIamos)
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}
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func zseritest(t *testing.T, x []float64, is []int, tol float64, n int, yr, yi []float64, kode int) {
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ZR := x[0]
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ZI := x[1]
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FNU := x[2]
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KODE := kode
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NZ := is[1]
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ELIM := x[3]
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ALIM := x[4]
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yrfort := make([]float64, len(yr))
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copy(yrfort, yr)
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yifort := make([]float64, len(yi))
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copy(yifort, yi)
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ZRfort, ZIfort, FNUfort, KODEfort, Nfort, YRfort, YIfort, NZfort, TOLfort, ELIMfort, ALIMfort :=
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zseriOrig(ZR, ZI, FNU, KODE, n, yrfort, yifort, NZ, tol, ELIM, ALIM)
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yramos := make([]float64, len(yr))
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copy(yramos, yr)
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yiamos := make([]float64, len(yi))
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copy(yiamos, yi)
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y := make([]complex128, len(yramos))
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for i, v := range yramos {
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y[i] = complex(v, yiamos[i])
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}
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z := complex(ZR, ZI)
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NZamos := Zseri(z, FNU, KODE, n, y[1:], tol, ELIM, ALIM)
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ZRamos := real(z)
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ZIamos := imag(z)
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FNUamos := FNU
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KODEamos := KODE
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Namos := n
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TOLamos := tol
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ELIMamos := ELIM
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ALIMamos := ALIM
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YRamos := make([]float64, len(y))
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YIamos := make([]float64, len(y))
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for i, v := range y {
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YRamos[i] = real(v)
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YIamos[i] = imag(v)
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}
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sameF64(t, "zseri zr", ZRfort, ZRamos)
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sameF64(t, "zseri zi", ZIfort, ZIamos)
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sameF64(t, "zseri fnu", FNUfort, FNUamos)
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sameInt(t, "zseri kode", KODEfort, KODEamos)
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sameInt(t, "zseri n", Nfort, Namos)
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sameInt(t, "zseri nz", NZfort, NZamos)
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sameF64(t, "zseri tol", TOLfort, TOLamos)
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sameF64(t, "zseri elim", ELIMfort, ELIMamos)
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sameF64(t, "zseri elim", ALIMfort, ALIMamos)
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sameF64SApprox(t, "zseri yr", YRfort, YRamos, 1e-10)
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sameF64SApprox(t, "zseri yi", YIfort, YIamos, 1e-10)
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}
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func zasyitest(t *testing.T, x []float64, is []int, tol float64, n int, yr, yi []float64, kode int) {
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ZR := x[0]
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ZI := x[1]
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FNU := x[2]
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KODE := kode
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NZ := is[1]
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ELIM := x[3]
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ALIM := x[4]
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RL := x[5]
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yrfort := make([]float64, len(yr))
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copy(yrfort, yr)
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yifort := make([]float64, len(yi))
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copy(yifort, yi)
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ZRfort, ZIfort, FNUfort, KODEfort, Nfort, YRfort, YIfort, NZfort, RLfort, TOLfort, ELIMfort, ALIMfort :=
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zasyiOrig(ZR, ZI, FNU, KODE, n, yrfort, yifort, NZ, RL, tol, ELIM, ALIM)
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yramos := make([]float64, len(yr))
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copy(yramos, yr)
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yiamos := make([]float64, len(yi))
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copy(yiamos, yi)
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ZRamos, ZIamos, FNUamos, KODEamos, Namos, YRamos, YIamos, NZamos, RLamos, TOLamos, ELIMamos, ALIMamos :=
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Zasyi(ZR, ZI, FNU, KODE, n, yramos, yiamos, NZ, RL, tol, ELIM, ALIM)
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sameF64(t, "zasyi zr", ZRfort, ZRamos)
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sameF64(t, "zasyi zr", ZIfort, ZIamos)
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sameF64(t, "zasyi fnu", FNUfort, FNUamos)
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sameInt(t, "zasyi kode", KODEfort, KODEamos)
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sameInt(t, "zasyi n", Nfort, Namos)
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sameInt(t, "zasyi nz", NZfort, NZamos)
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sameF64(t, "zasyi rl", RLfort, RLamos)
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sameF64(t, "zasyi tol", TOLfort, TOLamos)
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sameF64(t, "zasyi elim", ELIMfort, ELIMamos)
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sameF64(t, "zasyi alim", ALIMfort, ALIMamos)
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sameF64SApprox(t, "zasyi yr", YRfort, YRamos, 1e-12)
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sameF64SApprox(t, "zasyi yi", YIfort, YIamos, 1e-12)
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}
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func zbknutest(t *testing.T, x []float64, is []int, tol float64, n int, yr, yi []float64, kode int) {
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ZR := x[0]
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ZI := x[1]
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FNU := x[2]
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KODE := kode
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NZ := is[1]
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ELIM := x[3]
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ALIM := x[4]
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yrfort := make([]float64, len(yr))
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copy(yrfort, yr)
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yifort := make([]float64, len(yi))
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copy(yifort, yi)
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ZRfort, ZIfort, FNUfort, KODEfort, Nfort, YRfort, YIfort, NZfort, TOLfort, ELIMfort, ALIMfort :=
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zbknuOrig(ZR, ZI, FNU, KODE, n, yrfort, yifort, NZ, tol, ELIM, ALIM)
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yramos := make([]float64, len(yr))
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copy(yramos, yr)
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yiamos := make([]float64, len(yi))
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copy(yiamos, yi)
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ZRamos, ZIamos, FNUamos, KODEamos, Namos, YRamos, YIamos, NZamos, TOLamos, ELIMamos, ALIMamos :=
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Zbknu(ZR, ZI, FNU, KODE, n, yramos, yiamos, NZ, tol, ELIM, ALIM)
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sameF64(t, "zbknu zr", ZRfort, ZRamos)
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sameF64(t, "zbknu zr", ZIfort, ZIamos)
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sameF64(t, "zbknu fnu", FNUfort, FNUamos)
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sameInt(t, "zbknu kode", KODEfort, KODEamos)
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sameInt(t, "zbknu n", Nfort, Namos)
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sameInt(t, "zbknu nz", NZfort, NZamos)
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sameF64(t, "zbknu tol", TOLfort, TOLamos)
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sameF64(t, "zbknu elim", ELIMfort, ELIMamos)
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sameF64(t, "zbknu alim", ALIMfort, ALIMamos)
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sameF64SApprox(t, "zbknu yr", YRfort, YRamos, 1e-12)
|
|
sameF64SApprox(t, "zbknu yi", YIfort, YIamos, 1e-12)
|
|
}
|
|
|
|
func zairytest(t *testing.T, x []float64, kode, id int) {
|
|
ZR := x[0]
|
|
ZI := x[1]
|
|
KODE := kode
|
|
ID := id
|
|
|
|
AIRfort, AIIfort, NZfort := zairyOrig(ZR, ZI, ID, KODE)
|
|
AIRamos, AIIamos, NZamos := Zairy(ZR, ZI, ID, KODE)
|
|
|
|
sameF64Approx(t, "zairy air", AIRfort, AIRamos, 1e-12)
|
|
sameF64Approx(t, "zairy aii", AIIfort, AIIamos, 1e-12)
|
|
sameInt(t, "zairy nz", NZfort, NZamos)
|
|
}
|
|
|
|
func zacaitest(t *testing.T, x []float64, is []int, tol float64, n int, yr, yi []float64, kode int) {
|
|
ZR := x[0]
|
|
ZI := x[1]
|
|
FNU := x[2]
|
|
KODE := kode
|
|
NZ := is[1]
|
|
MR := is[2]
|
|
ELIM := x[3]
|
|
ALIM := x[4]
|
|
RL := x[5]
|
|
|
|
yrfort := make([]float64, len(yr))
|
|
copy(yrfort, yr)
|
|
yifort := make([]float64, len(yi))
|
|
copy(yifort, yi)
|
|
ZRfort, ZIfort, FNUfort, KODEfort, MRfort, Nfort, YRfort, YIfort, NZfort, RLfort, TOLfort, ELIMfort, ALIMfort :=
|
|
zacaiOrig(ZR, ZI, FNU, KODE, MR, n, yrfort, yifort, NZ, RL, tol, ELIM, ALIM)
|
|
|
|
yramos := make([]float64, len(yr))
|
|
copy(yramos, yr)
|
|
yiamos := make([]float64, len(yi))
|
|
copy(yiamos, yi)
|
|
ZRamos, ZIamos, FNUamos, KODEamos, MRamos, Namos, YRamos, YIamos, NZamos, RLamos, TOLamos, ELIMamos, ALIMamos :=
|
|
Zacai(ZR, ZI, FNU, KODE, MR, n, yramos, yiamos, NZ, RL, tol, ELIM, ALIM)
|
|
|
|
sameF64(t, "zacai zr", ZRfort, ZRamos)
|
|
sameF64(t, "zacai zi", ZIfort, ZIamos)
|
|
sameF64(t, "zacai fnu", FNUfort, FNUamos)
|
|
sameInt(t, "zacai kode", KODEfort, KODEamos)
|
|
sameInt(t, "zacai mr", MRfort, MRamos)
|
|
sameInt(t, "zacai n", Nfort, Namos)
|
|
sameInt(t, "zacai nz", NZfort, NZamos)
|
|
sameF64(t, "zacai rl", RLfort, RLamos)
|
|
sameF64(t, "zacai tol", TOLfort, TOLamos)
|
|
sameF64(t, "zacai elim", ELIMfort, ELIMamos)
|
|
sameF64(t, "zacai elim", ALIMfort, ALIMamos)
|
|
|
|
sameF64SApprox(t, "zacai yr", YRfort, YRamos, 1e-12)
|
|
sameF64SApprox(t, "zacai yi", YIfort, YIamos, 1e-12)
|
|
}
|
|
|
|
func sameF64(t *testing.T, str string, c, native float64) {
|
|
if math.IsNaN(c) && math.IsNaN(native) {
|
|
return
|
|
}
|
|
if c == native {
|
|
return
|
|
}
|
|
cb := math.Float64bits(c)
|
|
nb := math.Float64bits(native)
|
|
t.Errorf("Case %s: Float64 mismatch. c = %v, native = %v\n cb: %v, nb: %v\n", str, c, native, cb, nb)
|
|
}
|
|
|
|
func sameF64Approx(t *testing.T, str string, c, native, tol float64) {
|
|
if math.IsNaN(c) && math.IsNaN(native) {
|
|
return
|
|
}
|
|
if floats.EqualWithinAbsOrRel(c, native, tol, tol) {
|
|
return
|
|
}
|
|
// Have a much looser tolerance for correctness when the values are large.
|
|
// Floating point noise makes the relative tolerance difference greater for
|
|
// higher values.
|
|
if c > 1e200 && floats.EqualWithinAbsOrRel(c, native, 10, 10) {
|
|
return
|
|
}
|
|
cb := math.Float64bits(c)
|
|
nb := math.Float64bits(native)
|
|
t.Errorf("Case %s: Float64 mismatch. c = %v, native = %v\n cb: %v, nb: %v\n", str, c, native, cb, nb)
|
|
}
|
|
|
|
func sameInt(t *testing.T, str string, c, native int) {
|
|
if c != native {
|
|
t.Errorf("Case %s: Int mismatch. c = %v, native = %v.", str, c, native)
|
|
}
|
|
}
|
|
|
|
func sameF64S(t *testing.T, str string, c, native []float64) {
|
|
if len(c) != len(native) {
|
|
panic(str)
|
|
}
|
|
for i, v := range c {
|
|
sameF64(t, str+"_idx_"+strconv.Itoa(i), v, native[i])
|
|
}
|
|
}
|
|
|
|
func sameF64SApprox(t *testing.T, str string, c, native []float64, tol float64) {
|
|
if len(c) != len(native) {
|
|
panic(str)
|
|
}
|
|
for i, v := range c {
|
|
sameF64Approx(t, str+"_idx_"+strconv.Itoa(i), v, native[i], tol)
|
|
}
|
|
}
|